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Simplifying 34 + 14j = 2(j + -13) Reorder the terms: 34 + 14j = 2(-13 + j) 34 + 14j = (-13 * 2 + j * 2) 34 + 14j = (-26 + 2j) Solving 34 + 14j = -26 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 34 + 14j + -2j = -26 + 2j + -2j Combine like terms: 14j + -2j = 12j 34 + 12j = -26 + 2j + -2j Combine like terms: 2j + -2j = 0 34 + 12j = -26 + 0 34 + 12j = -26 Add '-34' to each side of the equation. 34 + -34 + 12j = -26 + -34 Combine like terms: 34 + -34 = 0 0 + 12j = -26 + -34 12j = -26 + -34 Combine like terms: -26 + -34 = -60 12j = -60 Divide each side by '12'. j = -5 Simplifying j = -5
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